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3328848 = 243223117
BaseRepresentation
bin1100101100101101010000
320021010022200
430230231100
51323010343
6155203200
740203045
oct14545520
96233280
103328848
111974016
121146500
138c7243
146291cc
1545b4d3
hex32cb50

3328848 has 30 divisors (see below), whose sum is σ = 9316554. Its totient is φ = 1109568.

The previous prime is 3328837. The next prime is 3328849. The reversal of 3328848 is 8488233.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 1710864 + 1617984 = 1308^2 + 1272^2 .

It is a super-2 number, since 2×33288482 = 22162458014208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3328849) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11415 + ... + 11702.

Almost surely, 23328848 is an apocalyptic number.

It is an amenable number.

3328848 is an abundant number, since it is smaller than the sum of its proper divisors (5987706).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3328848 is a wasteful number, since it uses less digits than its factorization.

3328848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23131 (or 23122 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 3328848 is about 1824.5130857300. The cubic root of 3328848 is about 149.3131261632.

It can be divided in two parts, 332 and 8848, that added together give a triangular number (9180 = T135).

The spelling of 3328848 in words is "three million, three hundred twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 23117 46234 69351 92468 138702 184936 208053 277404 369872 416106 554808 832212 1109616 1664424 3328848